1006411340 has 24 divisors (see below), whose sum is σ = 2305597392. Its totient is φ = 365967680.

The previous prime is 1006411337. The next prime is 1006411349. The reversal of 1006411340 is 431146001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1006411349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2287079 + ... + 2287518.

It is an arithmetic number, because the mean of its divisors is an integer number (96066558).

Almost surely, 2^1006411340 is an apocalyptic number.

1006411340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006411340 is an abundant number, since it is smaller than the sum of its proper divisors (1299186052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006411340 is a wasteful number, since it uses less digits than its factorization.

1006411340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574617 (or 4574615 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1006411340 is about 31723.9868238530. The cubic root of 1006411340 is about 1002.1325622786.

Adding to 1006411340 its reverse (431146001), we get a palindrome (1437557341).

The spelling of 1006411340 in words is "one billion, six million, four hundred eleven thousand, three hundred forty".